Self-gravitating fluids with cylindrical symmetry
- 1 July 1975
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 16 (7) , 1488-1490
- https://doi.org/10.1063/1.522698
Abstract
The general solution of the Einstein field equation is obtained under the assumptions that (1) the source of the gravitational field is a perfect fluid with pressure p, equal to energy density ρ, (2) the space–time is cylindrically symmetric, and (3) the metric is given by three functions of two variables. The coordinate transformation to comoving coordinates is discussed. The energy and the Hawking–Penrose inequalities are studied. The singularities of a class of solutions is studied using the concept of velocity‐dominated singularity. A relation between Einstein–Rosen waves and a class of solutions is shown.Keywords
This publication has 6 references indexed in Scilit:
- Plane symmetric self-gravitating fluids with pressure equal to energy densityCommunications in Mathematical Physics, 1973
- Velocity-Dominated Singularities in Irrotational Hydrodynamic Cosmological ModelsJournal of Mathematical Physics, 1972
- Gravitational waves in general relativity. XII. Correspondence between toroidal and cylindrical wavesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1972
- Velocity-Dominated Singularities in Irrotational Dust CosmologiesJournal of Mathematical Physics, 1972
- The singularities of gravitational collapse and cosmologyProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1970
- Gravitational waves in general relativity XI. Cylindrical-spherical wavesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1969